https://doi.org/10.1007/s100510050564
An universal relation between fractal and Euclidean (topological) dimensions of random systems
P.O. Box 39953, Ramat-Aviv 61398,
Tel-Aviv, Israel
Corresponding author: a bersh@hotmail.com
Received:
9
July
1998
Accepted:
12
July
1998
Published online: 15 December 1998
It is shown that a dimension-invariant form 
for fractal dimension D of random systems (where d is Euclidean
dimension of the embedding space) is in good agreement with results
of numerical simulations performed by different authors for critical
(p=pc) and subcritical (
) percolation, for lattice animals,
and for different aggregation processes.
PACS: 64.60.Ak – Renormalization-group, fractal, and percolation studies of phase transitions / 61.43.Hv – Fractals; macroscopic aggregates (including diffusion-limited aggregates) / 05.40.+j – Fluctuation phenomena, random processes, and Brownian motion
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998
